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Simplifying 6x + 7 = x + 32 Reorder the terms: 7 + 6x = x + 32 Reorder the terms: 7 + 6x = 32 + x Solving 7 + 6x = 32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 6x + -1x = 32 + x + -1x Combine like terms: 6x + -1x = 5x 7 + 5x = 32 + x + -1x Combine like terms: x + -1x = 0 7 + 5x = 32 + 0 7 + 5x = 32 Add '-7' to each side of the equation. 7 + -7 + 5x = 32 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 32 + -7 5x = 32 + -7 Combine like terms: 32 + -7 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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